Tiny Holes:  Security cameras are small, and their most obvious giveaway is the lens 

Think about where a camera would offer the best view.  Inspect smoke detectors 

Telltale Lights:  Most cameras have a tiny LED light that indicates recording.   

Turn off all the lights in the room and scan for any faint, flickering lights 

The Tech Approach:  If you're tech-savvy, you can use your phone's flashlight to scan electronic devices for a faint camera reflection off the lens.